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Finding the Fourth Proportional to 23,325, 32,210.37 and 16,270.98

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Solution

The fourth proportional to 23,325, 32,210.37 and 16,270.98 is: 22,469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,325 : 32,210.37 = 16,270.98 : x
  2. Step 2: Convert to fraction form
    23,325/32,210.37 = 16,270.98/x
  3. Step 3: Cross multiply
    23,325x = 32,210.37 × 16,270.98
  4. Step 4: Simplify right side
    23,325x = 524,094,286.06
  5. Step 5: Solve for x
    x = 524,094,286.06/23,325
  6. Step 6: Final answer
    x = 22,469.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.